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Faltings' theorem for the annihilation of local cohomology modules over a Gorenstein ring
Author(s):
K.
Khashyarmanesh;
Sh.
Salarian
Journal:
Proc. Amer. Math. Soc.
132
(2004),
2215-2220.
MSC (2000):
Primary 13D45, 13E05, 13H10, 13D05, 13C15
Posted:
March 10, 2004
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Abstract:
In this paper we study the Annihilator Theorem and the Local-global Principle for the annihilation of local cohomology modules over a (not necessarily finite-dimensional) Noetherian Gorenstein ring.
References:
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- [1]
- M. Brodmann, Einige Ergebnisse aus der lokalen Kohomologietheorie und ihre Anwendung, Osnabrücker Schriften zur Mathematik 5 (1983). MR 87j:14005
- [2]
- M. Brodmann, Ch. Rotthaus, and R. Y. Sharp, On annihilators and associated primes of local cohomology modules, J. Pure Appl. Algebra, 153 (2000) 197-227. MR 2002b:13027
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- M. Brodmann and R. Y. Sharp, Local cohomology: an algebraic introduction with geometric applications, Cambridge Studies in Advanced Mathematics, No. 60, Cambridge University Press, Cambridge, 1998. MR 99h:13020
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- L. W. Christensen, Gorenstein dimensions, Lecture Notes in Mathematics, no. 1747, Springer-Verlag, Berlin, 2000. MR 2002e:13032
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Additional Information:
K.
Khashyarmanesh
Affiliation:
Institute for Studies in Theoretical Physics and Mathematics, P.O. Box 19395-5746, Tehran, Iran -- and -- Department of Mathematics, Damghan University, P.O. Box 36715-364, Damghan, Iran
Email:
Khashyar@ipm.ir
Sh.
Salarian
Affiliation:
Institute for Studies in Theoretical Physics and Mathematics, P.O. Box 19395-5746, Tehran, Iran -- and -- Department of Mathematics, Damghan University, P.O. Box 36715-364, Damghan, Iran
Email:
Salarian@ipm.ir
DOI:
10.1090/S0002-9939-04-07322-8
PII:
S 0002-9939(04)07322-8
Keywords:
Local cohomology modules,
Gorenstein rings,
annihilator theorem
Received by editor(s):
June 5, 2002
Received by editor(s) in revised form:
March 5, 2003
Posted:
March 10, 2004
Additional Notes:
This research was in part supported by a grant from IPM (No. 81130021 and No. 81130117).
Communicated by:
Bernd Ulrich
Copyright of article:
Copyright
2004,
American Mathematical Society
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